8387421812016 has 720 divisors, whose sum is σ = 27028971285120. Its totient is φ = 2226200371200.

The previous prime is 8387421811981. The next prime is 8387421812051. The reversal of 8387421812016 is 6102181247838.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8387421811981) and next prime (8387421812051).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 8387421812016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2517987471 + ... + 2517990801.

It is an arithmetic number, because the mean of its divisors is an integer number (37540237896).

Almost surely, 2^{8387421812016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8387421812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514485642560).

8387421812016 is an abundant number, since it is smaller than the sum of its proper divisors (18641549473104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8387421812016 is a wasteful number, since it uses less digits than its factorization.

8387421812016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 8387421812016 in words is "eight trillion, three hundred eighty-seven billion, four hundred twenty-one million, eight hundred twelve thousand, sixteen".